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Proof step 4 from proof validrefs-append-01 (previous step)

validrefs(str, refs, ty, st), validrefs(str, refs .last ' + refs1, ty0, st) ⊦ refs = [], validrefs(str, refs + refs1, ty, st)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
refs = refs0 + r ', validrefs(str, refs, ty, st), validrefs(str, r ' + refs1, ty0, st) ⊦ refs = [], validrefs(str, refs + refs1, ty, st)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .last ∧ refs0 = refs .butlast ↔ refs = refs0 + r ' ,[refs, r, refs0] → [refs, r, refs0] ,T ,list-last ,references ,last-elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .last ∧ refs0 = refs .butlast ↔ refs = refs0 + r '])], [EXTRATERMS : (refs, r, refs0)]]